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Finding the Fourth Proportional to 376,117.88, 519,051.78 and 206,352

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Solution

The fourth proportional to 376,117.88, 519,051.78 and 206,352 is: 284,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,117.88 : 519,051.78 = 206,352 : x
  2. Step 2: Convert to fraction form
    376,117.88/519,051.78 = 206,352/x
  3. Step 3: Cross multiply
    376,117.88x = 519,051.78 × 206,352
  4. Step 4: Simplify right side
    376,117.88x = 107,107,372,906.56
  5. Step 5: Solve for x
    x = 107,107,372,906.56/376,117.88
  6. Step 6: Final answer
    x = 284,770.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.